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Finding the Third Proportional to 519,054 and 1,115,706

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Solution

The third proportional to 519,054 and 1,115,706 is: 2,398,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,054 : 1,115,706 = 1,115,706 : x
  2. Step 2: Convert to fraction form
    519,054/1,115,706 = 1,115,706/x
  3. Step 3: Cross multiply
    519,054x = 1,115,706 × 1,115,706
  4. Step 4: Simplify right side
    519,054x = 1,244,799,878,436
  5. Step 5: Solve for x
    x = 1,244,799,878,436/519,054
  6. Step 6: Final answer
    x = 2,398,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.